1. **Problem:** Simplify the expression using the rules of exponents. 2. **Rules of exponents:** - When multiplying powers with the same base, add the exponents: $a^m \times a^n = a^{m+n}$. - When dividing powers with the same base, subtract the exponents: $\frac{a^m}{a^n} = a^{m-n}$. - A power raised to another power means multiply the exponents: $(a^m)^n = a^{mn}$. - Any nonzero number raised to the zero power is 1: $a^0 = 1$. 3. **Given expression:** (Assuming the expression is $\frac{-8^0 \times 1^3}{2}$ based on the text) 4. **Evaluate powers:** - $-8^0 = - (8^0) = -1$ because exponent applies to 8 only. - $1^3 = 1$. 5. **Substitute:** $$\frac{-1 \times 1}{2} = \frac{-1}{2}$$ 6. **Final simplified expression:** $$-\frac{1}{2}$$ This is the simplified form of the expression using exponent rules.